SOLUTION: Use the approximate doubling time formula (rule of 70) for the case described below. Discuss whether the formula is valid for the case described:
An economic indicator is in
Algebra ->
Exponential-and-logarithmic-functions
-> SOLUTION: Use the approximate doubling time formula (rule of 70) for the case described below. Discuss whether the formula is valid for the case described:
An economic indicator is in
Log On
Question 437539: Use the approximate doubling time formula (rule of 70) for the case described below. Discuss whether the formula is valid for the case described:
An economic indicator is increasing at the rate of 7% per year. What is the doubling time? By what factor will the indicator increase in 3 years?
Thank you. Answer by stanbon(75887) (Show Source):
You can put this solution on YOUR website! An economic indicator is increasing at the rate of 7% per year. What is the doubling time? By what factor will the indicator increase in 3 years?
----
A(t) = P(1+(r/n))^(nt)
---
2P = P(1+ (0.07))^t
---
(1.07)^t = 2
----
t = log(2)/log(1.07)
---
t = 10.245 years
==============================
By what factor will the indicator increase in 3 years?
Not sure what is meant by that.
===================================
Cheers,
Stan H.
========